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Finding the Fourth Proportional to 34,065, 51,054.24 and 15,324.96

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Solution

The fourth proportional to 34,065, 51,054.24 and 15,324.96 is: 22,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065 : 51,054.24 = 15,324.96 : x
  2. Step 2: Convert to fraction form
    34,065/51,054.24 = 15,324.96/x
  3. Step 3: Cross multiply
    34,065x = 51,054.24 × 15,324.96
  4. Step 4: Simplify right side
    34,065x = 782,404,185.83
  5. Step 5: Solve for x
    x = 782,404,185.83/34,065
  6. Step 6: Final answer
    x = 22,967.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.